Primality proof for n = 20707:
Take b = 2.
b^(n-1) mod n = 1.
29 is prime.
b^((n-1)/29)-1 mod n = 15608, which is a unit, inverse 8922.
17 is prime.
b^((n-1)/17)-1 mod n = 4737, which is a unit, inverse 16834.
(17 * 29) divides n-1.
(17 * 29)^2 > n.
n is prime by Pocklington's theorem.